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Finding the Fourth Proportional to 4,054.33, 6,078.76 and 1,713.78

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Solution

The fourth proportional to 4,054.33, 6,078.76 and 1,713.78 is: 2,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.33 : 6,078.76 = 1,713.78 : x
  2. Step 2: Convert to fraction form
    4,054.33/6,078.76 = 1,713.78/x
  3. Step 3: Cross multiply
    4,054.33x = 6,078.76 × 1,713.78
  4. Step 4: Simplify right side
    4,054.33x = 10,417,657.31
  5. Step 5: Solve for x
    x = 10,417,657.31/4,054.33
  6. Step 6: Final answer
    x = 2,569.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.